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\newlabel{spectra}{{2}{4}{\footnotesize {(color online). (a) NMR spectrum of $Z^{\otimes 7}$ under the observation of C$_2$. The simulated (red) spectrum is rescaled for lineshape comparison with the experimental (blue) one. (b) PPS spectrum (blue) based on the network in Fig. \ref {everything}(c), where $\mathcal {U}_{c}$ was employed as the encoding process. The spectrum of the thermal equilibrium state (black) is also shown.}\relax }{figure.2}{}}
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